A family pass to the amusement park costs $54. Using the Distributive Property, write an cost in dollars of 8 family passes.

Answer:

f(x) = (1 - 0.25)x = 0.75x

f(x) = 0.75x

g(x) = (1 - 0.2)x = 0.8x

g(x) = 0.8x

(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x

(f o g)(x) = 0.6x

(g o f)(x) = 0.8(0.75x) = 0.6x

(g o f)(x) = 0.6x

Step-by-step explanation:

It does not matter which one you apply first.

Using a linear function, the table for her earnings y of producing x bracelets is given as follows:

A linear function is modeled by the following rule:

y = mx + b

In which:

For this problem, we have that:

Hence her earnings are modeled as follows:

y = 5x + 15.

The the numeric values are given as follows:

Then the table for her earnings y of producing x bracelets is given as follows:

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Answer:

4553

Step-by-step explanation:

2 x pi x r

Answer:

-34 is an integer and a rational number

Step-by-step explanation:

whole numbers do not include negative numbers

11/13% of a quantity is equal to 11/1300 fraction of the quantity.

Percentage signifies for every hundred or for each. We display it as %. Since a percentage is expressed on a scale of 1 to 100, it is easy to comprehend. Converting percentage data to fractions is known as "percent to a fraction." As per the percent to fraction conversion instructions, the percentage can be written as a fraction by deleting the percent symbol and placing 100 in the denominator. Any percent can easily be converted to a fraction, and the opposite is also true.

To convert a percentage to a fraction, follow these three simple steps. Let's examine these three processes in more detail.

Divide the given percentage by 100

[tex]\frac{11}{13}[/tex]% [tex]=\frac{11}{13} \times \frac{1}{100} \\=\frac{11}{1300}[/tex]

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Answer:

5<y< infinity

Step-by-step explanation:

a = 5 and a = 4 are the sum of both digits, of either of two two-digit numbers.

What is square number in math?

This can also be solved algebraically. Let the 2 digits be a and b, going left to right.  The number itself is then

N = 10a + b.  And it's given that a + b = 9, and a2 - ab + b2 = 21.  Substitute for b = 9 - a, combine all terms of a2 and a, and you get

3a2 - 27a + 60 = 0.  Divide by 3

a2 - 9a + 20 = 0.  Factor

(a - 5)(a - 4) = 0.  So the roots are a = 5 and a = 4.

The actual numbers N are 54 and 45.

The digits can be changed since the equations including only a and b are symmetric. (If a = 5, then b must be 4; inverse)

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Answer:

10

Step-by-step explanation:

All sides are divided by 2 on corresponding sides.

So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm in linear equations.

What are instances of linear equations?

240 = 2(99) + 2x

240 = 198 + 2x

42 = 2x

21 = x

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Answer:

y=-4x-1

Step-by-step explanation:

x-4y=24

-x      -x

-4y=-x+24

Divide -4

y=-1/-4x-6

Simplify the slope.

y=1/4x-6

Perpendicular slope

m = 1/4

m = -4

The point is (-2,7)

-2 is the x intercept

7 is the y intercept

Slope Point Form is y-y1=m(x-x1)

Plug it in

y-7=-4(x+2)

Solve and put it into slope intercept form

y-7=-4x-8

 +7      +7

y=-4x-1

There's your answer.

Hope that helps.

The correct option is D. More than one of them test negative.

More than one of them tests negative in the written explanation of the given event.

We have a conditional statement that states that if it rains, we will not play. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), therefore the statement A implies B is false.

Now, as per the question;

Option D correctly paraphrases the sentences by stating that there was at least one, though there could be more, but this does not guarantee that all.

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The complete question is -

Determine the written description of the complement of the given event. When seven job applicants are tested for a certain ability​, at least one of them tests positive. Choose the correct answer below.

A. All of them test positive

B. None of them test negative

C. All of them test negative

D. More than one of them test negative

The domain of the function is {x | 1 ≤ x ≤ 8}

The x-coordinates form the domain.

We know the x-coordinates of the end points of the line, the first numbers in pair of coordinates:

x = 1 and x = 8

Also, since both points are closed circles, the endpoints are included.

So the domain is the interval between 1 and 8, both inclusive.

This is shown as:

{x | 1 ≤ x ≤ 8}

A domain name is a string that identifies a realm of administrative autonomy, authority or control within the web . Domain names are utilized in various networking contexts and for application-specific naming and addressing purposes. generally , a website name identifies a network domain or an Internet Protocol (IP) resource, like a personal computer used to access the Internet, or a server computer. Domain names are often wont to identify services provided through the Internet, like websites and email services. As of 2017, 330.6 million domain names had been registered.

Domain names are formed by the principles and procedures of the Domain Name System (DNS). Any name registered within the DNS is a domain name. Domain names are organized in subordinate levels (subdomains) of the DNS root domain, which is nameless.

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Answer:

The domain of the function is {x | 1 ≤ x ≤ 8}

The x-coordinates form the domain.

We know the x-coordinates of the end points of the line, the first numbers in pair of coordinates:

x = 1 and x = 8

Also, since both points are closed circles, the endpoints are included.

So the domain is the interval between 1 and 8, both inclusive.

This is shown as:

{x | 1 ≤ x ≤ 8}

A domain name is a string that identifies a realm of administrative autonomy, authority or control within the web . Domain names are utilized in various networking contexts and for application-specific naming and addressing purposes. generally , a website name identifies a network domain or an Internet Protocol (IP) resource, like a personal computer used to access the Internet, or a server computer. Domain names are often wont to identify services provided through the Internet, like websites and email services. As of 2017, 330.6 million domain names had been registered.

Domain names are formed by the principles and procedures of the Domain Name System (DNS). Any name registered within the DNS is a domain name. Domain names are organized in subordinate levels (subdomains) of the DNS root domain, which is nameless.

Step-by-step explanation:

The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

In the question

the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)

Simplifying the expression further

we get ,

[tex]= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14[/tex]

writing the like terms together

= t * (2/5+2/3-5/6)-7-14

taking LCM of 5,3,6 as 30 and simplifying further we get ,

= t * (12/30 + 20/30 -25/30) - 21

= t * (7/30) - 21

which can also be written as (7/30)*t + (-21) .

Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

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Answer:

9 pounds per inch

Step-by-step explanation:

There are approximately 2.2 pounds in a kilogram. So, 4.1 kilograms is approximately 9 pounds. Therefore, the ratio is 9 pounds per inch. The step by step for this is, 4.1 kg/m * 2.2 lb/kg = 9 lb/m * 1 in/m = 9 lb/in

According to the given statement  the surface area a of the box is S1= 2× x ×(h+4).

An object's surface area is the total area that all of its surfaces occupy. The formulas we will learn in this post make it simple to determine the various surface areas that various 3D shapes in geometry have.

Vol = W*L*H = 100

Vol = X*(X+4)*H = 100

H = 100/(X^2 + 4X)S

A = 2*(X*(X+4) + X*H + H*(X+4))

Let h = the height× x ×(h+4)=100

h=100/x^{2} +4x

The top and bottom surfaces are:

S1= 2× x ×(h+4)

The following are the front as well as back areas:

S2= 2× (x+4)× h

The area for the sides is:

S3= 2x × h

Choose a value for x to check this as one method.

x=9x+ 4=13

h=100/x^{2} +4

h=100/81+4

h=100/117

According to the given statement  the surface area a of the box is S1= 2× x ×(h+4).

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Answer:

Hope this helps :)

13/8 x 11 = 143/7 = 17 7/8 (simplified and converted into mixed number)

3/5 x 5/7 = 15/35 = 3/7 (simplified)

2/5 x 5/6 = 10/30 = 1/3 (simplified)

There is 17.5 inches distance between the tee and the hole on the model.

According to the question we have been given that

length of hole#9 is = 175 yards

the scale for the model is given as = 2 inch : 20yards

We need to find the inches between the tee and the hole.

Let the length between the tee and the hole on the model be x inches

Thus the above condition can be written as

               2 inches / 20yards = x inches/175 yards

We have to solve this proportion for x we get

                       x inches = 175*2/20

                            x = 17.5 inches

Hence there is 17.5 inches distance between the tee and the hole on the model.

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Monica falls into the 10% bracket.

The tax refers to the money that a person is expected to pay to the government as part of your responsibilities as citizen of the country. The tax that is paid by the citizens is used in the provision of basic amenities for the people of a community.

Now, there are certain legal exemptions that apply to different people in different tax brackets. In this case, Monica has an income of $14000 with a deduction of $5700. This leaves her taxable income at $8300.

From the computation above, it then follows that Monica falls into the 10% bracket.

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Answer:

$465

Step-by-step explanation:

just multiply 4650 (the taxable income) and .10 (the tax bracket she falls into) which equals 465! i hope it helped ^_^

The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.

From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.

After reflection, across the x-axis, we see that it was translated down by 2 units.

The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.

The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.

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Emily claims that a tree height of 43 inches is an outlier for the distribution.

What is the 1.5 IQR rule for outliers?

Add 1.5 to the interquartile range (IQR) (a constant used to discern outliers). The third quartile is increased by 1.5 times (IQR). Any figure above this is thought to be an outlier.

The starting and the end of the box in box plot are first and third quartile respectively.

From the given box plot it is clear that, Q₁ = 34  and Q₃ = 38

IQR = Q₃ -  Q₁

IQR = 38 - 34

IQR = 4

According to 1.5x IQR rule for outliers, all the data values lies outside the interval [ Q₁  - 1.5 × IQR , Q₃ + 1.5 × IQR ] are outliers..

Q₃ + 1.5 × IQR = 38 + 1.5(4)

Q₃ + 1.5 × IQR = 38 + 6

Q₃ + 1.5 × IQR = 44

We know that, 43<44.

Since, 43 is not greater than Q₃ + 1.5 × IQR  therefore, 43 is not an outlier and there is no evidence to support the claim.

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The points X(6,7), Y(2,3), Z(4,1) can be plotted as given below. From the obtained graph ∠XYZ is the right angle.

The given coordinates are X(6,7), Y(2,3) and Z(4,1).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(6,7), Y(2,3), Z(4,1) can be plotted as given below:

All points X(6,7), Y(2,3), Z(4,1) have the positive x and y coordinates.

So, all the points X(6,7), Y(2,3) and Z(4,1) lie in the first quadrant.

From the graph, we can see at the two lines are perpendicular to each other.

So, the angle between two lines is the right angle which is 90°.

From the obtained graph ∠XYZ is the right angle.

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1.5·10⁸ kilometers

As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

As a result, the solution is 1.5·10⁸

The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.

Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.

As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.

If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.

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By unitary method, Marissa can hike 7/3 miles in an hour.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

[tex]1\frac{3}{4}[/tex] = 7/4miles are hiked in 3/4 hours.

To find: the number of miles hiked in one hour

Finding:

By unitary method,

Miles hiked in 3/4 hours = 7/4

Miles hiked in 1 hour = 7/4(4/3) = 7/3

Hence, by unitary method, Marissa can hike 7/3 miles in an hour.

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300 Hours will be the Interquartile range for type A batteries.

In the given question, we have 11 terms in Hours, So we get N = 11, and the formula can calculate the Median for the allotted Hours  [tex]\frac{n+1}{2}[/tex]

Since the Median is 6th term i.e.  we get Middle Quartile Q2 = 1300Hours

Q1 is the Lower quartile of the graph and the Median divides the graph into 8 equal parts. And we get the value of Q1 = 1100 Hours. Whereas, The upper quartile is the upper quarter. So, Q3 = 1400 Hours.

We have the formula to calculate the Interquartile range :

  IQR = Q3 - Q1

Putting values of Q3 and Q1 into the formula, We get :

         IQR = 1400 - 1100

         IQR = 300

Hence, the Interquartile range  IQR = 300 Hours.

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The variable which is incorrect in his solution as given in the task content is; Choice C; variable w.

It follows from the task content that the equation is to be solved for y.

Given; A = 2x -xyz² -w

Add w-2x to both sides of the equation;

A+w-2x = -xyz²

Divide both sides by; -xz²

y = {A+w-2x}/{-xz²}

Hence, the variable which is placed incorrectly in the task content is; w as it should appear Inthe numerator instead of the denominator.

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Step-by-step explanation:

Mark is 18, as his 8th birthday was 10 years ago

Aunt Jess is 36 since Jess is twice as old as Mark
Julie is 28 because 36+18=54, and 54-26=28

Gwen is 30 since she's 2 years older than Julie

The twins are 8 (1/3 of 30 is 10, then do -2)

Answers:

1. 8

2. 10

3. Mark will be 23

4.  Gwen was twice Julie's age when she was 4 (26 years ago)

(Gwen is 2 years older than Julie)

I hope this helps, Brainliest and Thanks would be very much appreciated

Answer: 1. 8 years old

2. 10 years

3. 23 years old

4. 26 years ago

Step-by-step explanation:

G=Gwen's age.

J=Julie's age.

A=Aunt Jess's age

U=Uncle Mark's age

T=twins' ages

1. G=J+2

A=U*2

J=A+U-26

T=G/3 - 2

U-10=8

U+10-10=8+10 ==> Add 10 on both sides to single out U.

U=18

A=U*2

A=18*2

A=36

J=A+U-26

J=36+18-26

J=54-26

J=28

G=J+2

G=28+2

G=30

T=G/3 - 2

T=30/3 - 2

T=10-2

T=8 ==> 8 years old

2. 8+x=18

8-8+x=18-8

x=10 years

3. U=18

18+5=23 years old

4. G=J+2

G=J*2

J*2=J+2

2J=J+2

J=2 ==> subtract J on both sides

G=2+2

G=4

30-4=26 years ago